Atkin-Lehner |
3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
36603c |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
32760 |
Modular degree for the optimal curve |
Δ |
-348810814107 = -1 · 36 · 78 · 83 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10290,-402768] |
[a1,a2,a3,a4,a6] |
Generators |
[25284:768968:27] |
Generators of the group modulo torsion |
j |
-28672000/83 |
j-invariant |
L |
4.6247631098766 |
L(r)(E,1)/r! |
Ω |
0.23696839178314 |
Real period |
R |
6.505457085192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4067a1 36603h1 |
Quadratic twists by: -3 -7 |